2006/09/30 by Laurent Sanchez-Palencia · 75 citations
Physics and Astronomy · #Amplitude #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Delocalized electron #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Strong Light-Matter Interactions #Wave function #cond-mat.other
paper · pdf · doi:10.1103/physreva.74.053625
published in Physical Review A 74(5) (American Physical Society) · The word "screening" has been changed to "smoothing" to avoid confusions with other effects discussed in the literature. This does not affect the content of paper, nor the results, nor the physical discussion
openalex publication_date 2006/11/29 · arxiv created 2006/11/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We theoretically investigate the physics of interacting Bose-Einstein condensates at equilibrium in a weak (possibly random) potential. We develop a perturbation approach to derive the condensate wave function for an amplitude of the potential smaller than the chemical potential of the condensate and for an arbitrary spatial variation scale of the potential. Applying this theory to disordered potentials, we find in particular that, if the healing length is smaller than the correlation length of the disorder, the condensate assumes a delocalized Thomas-Fermi profile. In the opposite situation where the correlation length is smaller than the healing length, we show that the random potential can be significantly smoothed and, in the mean-field regime, the condensate wave function can remain delocalized, even for very small correlation lengths of the disorder.